{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MHMDYGMFVKPC3CAJSUC5PAY4RG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"835947b2bb11a55598910e62906589fc6d7b309161eff6ba8ca1dfcfb8d7a963","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-29T16:39:41Z","title_canon_sha256":"0050976286c8f806b455684ea3d961d3254b24274fe9653977bfcccf430d9c28"},"schema_version":"1.0","source":{"id":"1309.7621","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7621","created_at":"2026-05-18T03:11:56Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7621v1","created_at":"2026-05-18T03:11:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7621","created_at":"2026-05-18T03:11:56Z"},{"alias_kind":"pith_short_12","alias_value":"MHMDYGMFVKPC","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MHMDYGMFVKPC3CAJ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MHMDYGMF","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:85d999072b1bfc9f39cf1d7d9dcc95232c052670c1cf249f668ce60877266f73","target":"graph","created_at":"2026-05-18T03:11:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we investigate Gaussian risk models which include financial elements such as inflation and interest rates. For some general models for inflation and interest rates, we obtain an asymptotic expansion of the finite-time ruin probability for Gaussian risk models. Furthermore, we derive an approximation of the conditional ruin time by an exponential random variable as the initial capital tends to infinity.","authors_text":"Enkelejd Hashorva, Krzysztof Debicki, Lanpeng Ji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-29T16:39:41Z","title":"Gaussian risk models with financial constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7621","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:03f72a6d32805cd13f3f2fe80d722ab272f79d0e112bcba6247762624a74e0ea","target":"record","created_at":"2026-05-18T03:11:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"835947b2bb11a55598910e62906589fc6d7b309161eff6ba8ca1dfcfb8d7a963","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-09-29T16:39:41Z","title_canon_sha256":"0050976286c8f806b455684ea3d961d3254b24274fe9653977bfcccf430d9c28"},"schema_version":"1.0","source":{"id":"1309.7621","kind":"arxiv","version":1}},"canonical_sha256":"61d83c1985aa9e2d88099505d7831c89b656b24516ebf7543efb11666d127e4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61d83c1985aa9e2d88099505d7831c89b656b24516ebf7543efb11666d127e4d","first_computed_at":"2026-05-18T03:11:56.404640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:56.404640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0fHvuI55+1wviGhiyxwRxUYakk9Pk7DpSlz3Frj5hS927ai3CvXKgJqkdwNmZUA/LQ+mqmYIKbgud+GpaLonCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:56.405144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7621","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03f72a6d32805cd13f3f2fe80d722ab272f79d0e112bcba6247762624a74e0ea","sha256:85d999072b1bfc9f39cf1d7d9dcc95232c052670c1cf249f668ce60877266f73"],"state_sha256":"078ce6790c329abc9656d0f2ca5846431f29e02dc2893de1cd6c3a9da20e9d60"}